Picture of a sphere with binary code

Making Strathclyde research discoverable to the world...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs. It exposes Strathclyde's world leading Open Access research to many of the world's leading resource discovery tools, and from there onto the screens of researchers around the world.

Explore Strathclyde Open Access research content

Analytical solution for the lattice Boltzmann model beyond Naviers-Stokes

Meng, Jian-Ping and Zhang, Yonghao (2010) Analytical solution for the lattice Boltzmann model beyond Naviers-Stokes. Advances in Applied Mathematics and Mechanics, 2 (5). pp. 670-676. ISSN 2070-0733

[img]
Preview
PDF (strathprints026948.pdf)
strathprints026948.pdf

Download (336kB) | Preview

Abstract

To understand lattice Boltzmann model capability for capturing nonequilibrium effects, the model with first-order expansion of the equilibrium distribution function is analytically investigated. In particular, the velocity profile of Couette flows is exactly obtained for the D2Q9 model, which shows retaining the first order expansion can capture rarefaction effects in the incompressible limit. Meanwhile, it clearly demonstrates that the D2Q9 model is not able to reflect flow characteristics in the Knudsen layer.